Events A and C are independent. If the probabilities relating A, B, and C are P(A) = 1/5, P(B) = 1/6; P(A∩C)=1/20; P(B∪C)=3/8. Then

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events B and C are independent

events B and C are mutually exclusive

events B and C are neither independent nor mutually exclusive

events B and C arc equiprobable

answer is A.

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Detailed Solution

P(A∩C)=P(A)P(C)or 120=15P(C)or P(C)=14Now,P(B∪C)=16+14−P(B∩C)P(B∩C)=512−38=124P(B)P(C)Therefore, B and C are independent.

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